Epimorphism

Full definition of epimorphism

Noun

1. (category theory) A morphism p such that for any other pair of morphisms f and g, if $f\; \backslash circ\; p\; =\; g\; \backslash circ\; p$, then f = g.In most everyday categories, a map is an epimorphism iff it's surjective.

Abbreviations

• epi

Hyponyms

• bimorphism | split epimorphism
• isomorphism

Related terms

• epic
• isomorphism
• monomorphism